{
  "id": "1304.3869",
  "version": "v2",
  "published": "2013-04-14T01:38:53.000Z",
  "updated": "2013-10-06T01:50:46.000Z",
  "title": "Regulator of modular units and Mahler measures",
  "authors": [
    "Wadim Zudilin"
  ],
  "comment": "15 pages",
  "journal": "Math. Proc. Cambridge Philos. Soc. 156:2 (2014) 313--326",
  "doi": "10.1017/S0305004113000765",
  "categories": [
    "math.NT",
    "math.AG",
    "math.CA",
    "math.KT"
  ],
  "abstract": "We present a proof of the formula, due to Mellit and Brunault, which evaluates an integral of the regulator of two modular units to the value of the $L$-series of a modular form of weight 2 at $s=2$. Applications of the formula to computing Mahler measures are discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-06T01:50:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F11",
      "11F20",
      "11G16",
      "11G55",
      "11R06",
      "14H52",
      "19F27"
    ],
    "keywords": [
      "modular units",
      "modular form",
      "computing mahler measures",
      "applications"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.3869Z"
    }
  }
}